Definition
Integral of Inverse Hyperbolic Functions
-> this refers to integrate the inverse hyperbolic.
Formulas of Integral of Inverse Hyperbolic Functions |
1. Inverse Hyperbolic Sine Integral
-> this states the integral of inverse hyperbolic sine function.
Formula:
2. Inverse Hyperbolic Cosine Integral
-> this states the integral of inverse hyperbolic cosine function.
Formula:
3. Inverse Hyperbolic Tangent Integral
-> this states the integral of inverse hyperbolic tangent function if u2 < a2.
Formula:
4. Inverse Hyperbolic Cotangent Integral
-> this states the integral of inverse hyperbolic cotangent function if u2 > a2.
Formula:
5. Inverse Hyperbolic Secant Integral
-> this states the integral of inverse hyperbolic secant function.
Formula:
6. Inverse Hyperbolic Cosecant Integral
-> this states the integral of inverse hyperbolic cosecant function.
Formula:
Example |
1. Find the answer from this given:
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
=
= u = 3x; du = 3 dx
= Formula:
= 
= 
Exercises |
1. 
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
Solution:
=
= Formula:
= u = 3x; du = 3 dx; a = 1
= 
= 
Answer:
2. 
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
Solution:
=
= Formula:
= a2 = 4; a = 4
= 
= 
Answer:
3. 
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
Solution:
=
= Formula:
= a2 = 9; a = 3; u2 = 4x2; u = 2x
= 
Answer:
4. 
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
Solution:
=
= Formula: 
= a2 = 49; a = 7; u2 = 4x2; u = 2x
= 
= 
Answer:
5. 
Steps:
a. Write the given 1st.
b. Use the specific inverse hyperbolic trigonometric integral formula.
c. Find the inverse hyperbolic trigonometric integral.
Solution:
=
= Formula:
= u = ex; du = ex dx; dx = du/u; a2 = 49; a = 7
= 
Answer: